Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Problem 20

For each of the questions, four choices have been provided. Select the correct alternative. Which of the following sets of quantum numbers represent electron in hydrogen atom? (a) \(1,1,0,+1 / 2\) (b) \(1,0,0,+1 / 2\) (c) \(3,0,0,-1 / 2\) (d) \(4,2,1,-1 / 2\)

Short Answer

Expert verified
The correct sets of quantum numbers are: - Option (b): \(1,0,0,+1 / 2\) - Option (c): \(3,0,0,-1 / 2\) - Option (d): \(4,2,1,-1 / 2\)

Step by step solution

01

Option (a): \(1,1,0,+1 / 2\)

For this option, we have \(n=1\), \(l=1\), \(m_l=0\), and \(m_s=+1/2\). As per rule 2, since n=1, the value of l should be 0 (because l can range from 0 to n-1). But l=1 in this case, so option (a) is incorrect.
02

Option (b): \(1,0,0,+1 / 2\)

In this case, we have \(n=1\), \(l=0\), \(m_l=0\), and \(m_s=+1/2\). For n=1, l can be 0, and for l=0, m_l can be 0, according to rules 2 and 3. The m_s value of \(+1/2\) is also valid, as it follows rule 4. Thus, option (b) is correct.
03

Option (c): \(3,0,0,-1 / 2\)

For this case, we have \(n=3\), \(l=0\), \(m_l=0\), and \(m_s=-1/2\). For n=3, l can be 0 according to rule 2, and for l=0, m_l can be 0, satisfying rule 3 as well. The m_s value of \(-1/2\) is valid, following rule 4. So, option (c) is also correct.
04

Option (d): \(4,2,1,-1 / 2\)

In this case, we have \(n=4\), \(l=2\), \(m_l=1\), and \(m_s=-1/2\). For n=4, l can be 2, according to rule 2, and for l=2, m_l can range from -2 to 2, so m_l=1 is valid, following rule 3. The m_s value of \(-1/2\) satisfies rule 4 as well. Thus, option (d) is also correct. In conclusion, the sets of quantum numbers that represent an electron in a hydrogen atom are (b), (c), and (d).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The ratio of energy to frequency of electromagnetic radiation is equal to _______.

For each of the questions, four choices have been provided. Select the correct alternative. Heisenberg's uncertainty principle is not applicable to (a) all the bodies moving with high speed (b) protons (c) electrons (d) all the microparticles moving with high speed

For each of the questions, four choices have been provided. Select the correct alternative. Probability of finding a \(\mathrm{d}_{\mathrm{yz}}\) electron is zero along the (a) \(x\) -axis (b) \(y\) -axis (c) \(z\) -axis (d) all of these

For each of the questions, four choices have been provided. Select the correct alternative. Quantum theory of radiation was proposed by (a) Pauli (b) Planck (c) Hund (d) Aufbau

For each of the questions, four choices have been provided. Select the correct alternative. (1) As long as an electron revolves in a particular orbit, the electron does not lose its energy. Therefore, these orbits are called stationary orbits and the electrons are said to be in station- ary energy states. (2) Each orbit or shell is associated with a definite amount of energy. Hence, these are also called energy levels. (3) An electron jumps from a lower energy level to a higher energy level, by absorbing energy. It jumps from a higher energy level to a lower energy level by emitting energy in the form of electromagnetic radiation. (4) Electrons move around the nucleus in specified circular paths called orbits or shells or energy levels and are designated as \(\mathrm{K}, \mathrm{L}, \mathrm{M}\) and \(\mathrm{N}\) shells respectively. Arrange the above postulates of Bohr's theory in a correct sequence. (a) \(4,1,3,2\) (b) \(4,2,1,3\) (c) \(4,1,2,3\) (d) \(2,4,1,3\)
See all solutions

Recommended explanations on Chemistry Textbooks

Making Measurements

Read Explanation

Chemical Reactions

Read Explanation

The Earths Atmosphere

Read Explanation

Chemistry Branches

Read Explanation

Kinetics

Read Explanation

Ionic and Molecular Compounds

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free